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Global attractivity for nonlinear fractional differential equations
Authors:Fulai Chen
Affiliation:
  • a Department of Mathematics, Xiangnan University, Chenzhou 423000, China
  • b Facultad de Matemáticas, Universidad de Santiago de Compostela 15782, Spain
  • c School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411005, China
  • Abstract:We present some results for the global attractivity of solutions for fractional differential equations involving Riemann-Liouville fractional calculus. The results are obtained by employing Krasnoselskii’s fixed point theorem. Similar results for fractional differential equations involving Caputo fractional derivative are also obtained by using the classical Schauder’s fixed point theorem. Several examples are given to illustrate our main results.
    Keywords:Attractive   Fractional differential equations   Nonlinear   Fixed point
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